Fermionic systems under the influence of quasiperiodic fields display different relaxation properties. In particular, employing bichromatic optical lattices and initial fermionic gases prepared in the so called charge density wave state, the crossover from ergodic to non-ergodic dynamics can be witnessed monitoring the density imbalance in the occupation of even and odd sites.
We investigate such setup from an open quantum system theory perspective, designing a protocol in which an impurity atom is coupled to the fermionic cloud trapped in the bichromatic lattice. This interaction induces decoherence in the probe induced by the complex out-of equilibrium environment. We focus our attention on the time evolution of the impurity in such environment and study wether the probe dynamics can be classified as Markovian or non-Markovian. Specifically we see how the localised phase of the Aubry-Andre’ model displays evidence of strong memory effects.